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Researchers were interested in play types. Children in 3 age groups were compared. The researchers measured the number of minutes out of a 30 minute time sample that the children engaged in social 5% significance level (a = 0.05). What conclusion can the researchers draw? Interpret the Post Hoc tests using the Bonferroni procedure. Write the step 5 answer (formal APA format notation and conclusi Toddler Preschool Kindergarten Anova: Single Factor 7 20 9 24 SUMMARY Groups 14 18 Count Sum Average Voriance 3 18 21 Toddler 21 5.25 2.916667 22 Preschool 4 48 12 24.66667 Kindergarten 105 21 ANOVA Source of Variation Between Groups Within Groups MS 2 281.1635 27.36384 0.000088 4.102821 10 Pvalue Ferit 562.3269 102.75 10.275 Total 665.0769 12 t-Test: Two-Sample Assuming Equal Variances t-Test: Two-Sample Assuming Equal Variances t-Test: Two-Sample Assuming Equal Variances Toddler Kindergarten 5.25 eschool Kindergarten Toddler Preschool Mean 5.25 12 Mean 21 Mean 12 21 Variance 2.917 24.667 Variance 2.917 Variance 24.667 Observations Observations 4 Observations Pooled Variance 13.792 Pooled Variance 4.107 Pooled Variance 13.429 Hynothesized Mean Difference Hynothesired Mean Difference Hynothesired Mean Difference

Researchers were interested in play types. Children in 3 age groups were compared. The researchers measured the number of minutes out of a 30 minute time sample that the children engaged in social 5% significance level (a = 0.05). What conclusion can the researchers draw? Interpret the Post Hoc tests using the Bonferroni procedure. Write the step 5 answer (formal APA format notation and conclusi Toddler Preschool Kindergarten Anova: Single Factor 7 20 9 24 SUMMARY Groups 14 18 Count Sum Average Voriance 3 18 21 Toddler 21 5.25 2.916667 22 Preschool 4 48 12 24.66667 Kindergarten 105 21 ANOVA Source of Variation Between Groups Within Groups MS 2 281.1635 27.36384 0.000088 4.102821 10 Pvalue Ferit 562.3269 102.75 10.275 Total 665.0769 12 t-Test: Two-Sample Assuming Equal Variances t-Test: Two-Sample Assuming Equal Variances t-Test: Two-Sample Assuming Equal Variances Toddler Kindergarten 5.25 eschool Kindergarten Toddler Preschool Mean 5.25 12 Mean 21 Mean 12 21 Variance 2.917 24.667 Variance 2.917 Variance 24.667 Observations Observations 4 Observations Pooled Variance 13.792 Pooled Variance 4.107 Pooled Variance 13.429 Hynothesized Mean Difference Hynothesired Mean Difference Hynothesired Mean Difference

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Researchers were interested in play types. Children in 3 age groups were compared. The researchers measured the number of minutes out of a 30 minute time sample that the children engaged in social play (associative or cooperative play). Interpret the Excel output obtained at the 5% significance level (a = 0.05). What conclusion can the researchers draw? Interpret the Post Hoc tests using the Bonferroni procedure. Write the step 5 answer (formal APA format notation and conclusions; round your answer to 2 decimal places). |Toddler Preschool Kindergarten Anova: Single Factor 7 7 20 6 9 24 SUMMARY 5 14 18 Groups Count Sum Average Variance 3 18 21 Toddler 4 21 5.25 2.916667 22 Preschool 4 48 12 24.66667 Kindergarten 5 105 21 5 ANOVA F crit Source of Variation Between Groups S df MS F P-value 562.3269 2 281.1635 27.36384 0.000088 4.102821 Within Groups 102.75 10 10.275 Total 665.0769 12 t-Test: Two-Sample Assuming Equal Variances t-Test: Two-Sample Assuming Equal Variances t-Test: Two-Sample Assuming Equal Variances Toddler Preschool Toddler Kindergarten Preschool Kindergarten Мean 5.25 12 Mean 5.25 21 Mean 12 21 Variance 2.917 24.667 Variance 2.917 Variance 24.667 5 Observations 4 4 Observations Observations 4 5 Pooled Variance 13.792 Pooled Variance 4.107 Pooled Variance 13.429 Hypothesized Mean Difference Hypothesized Mean Difference Hypothesized Mean Difference df 6 df 7 df 7 t Stat -2.570 t Stat -11.585 t Stat -3.661 P(T<=t) one-tail t Critical one-tail P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail 0.021 0.000004 0.004 1.943 1.895 1.895 0.042 0.000008 P(T<=t) two-tail 0.008 2.447 2.365 t Critical two-tail 2.365
Transcribed Image Text:Researchers were interested in play types. Children in 3 age groups were compared. The researchers measured the number of minutes out of a 30 minute time sample that the children engaged in social play (associative or cooperative play). Interpret the Excel output obtained at the 5% significance level (a = 0.05). What conclusion can the researchers draw? Interpret the Post Hoc tests using the Bonferroni procedure. Write the step 5 answer (formal APA format notation and conclusions; round your answer to 2 decimal places). |Toddler Preschool Kindergarten Anova: Single Factor 7 7 20 6 9 24 SUMMARY 5 14 18 Groups Count Sum Average Variance 3 18 21 Toddler 4 21 5.25 2.916667 22 Preschool 4 48 12 24.66667 Kindergarten 5 105 21 5 ANOVA F crit Source of Variation Between Groups S df MS F P-value 562.3269 2 281.1635 27.36384 0.000088 4.102821 Within Groups 102.75 10 10.275 Total 665.0769 12 t-Test: Two-Sample Assuming Equal Variances t-Test: Two-Sample Assuming Equal Variances t-Test: Two-Sample Assuming Equal Variances Toddler Preschool Toddler Kindergarten Preschool Kindergarten Мean 5.25 12 Mean 5.25 21 Mean 12 21 Variance 2.917 24.667 Variance 2.917 Variance 24.667 5 Observations 4 4 Observations Observations 4 5 Pooled Variance 13.792 Pooled Variance 4.107 Pooled Variance 13.429 Hypothesized Mean Difference Hypothesized Mean Difference Hypothesized Mean Difference df 6 df 7 df 7 t Stat -2.570 t Stat -11.585 t Stat -3.661 P(T<=t) one-tail t Critical one-tail P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail 0.021 0.000004 0.004 1.943 1.895 1.895 0.042 0.000008 P(T<=t) two-tail 0.008 2.447 2.365 t Critical two-tail 2.365
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